2x2^2+8divided by 2 -(5+3)

1 answer

Let's simplify the expression step by step:

  1. First, rewrite the expression: \[ 2 \cdot 2^2 + 8 \div 2 - (5 + 3) \]

  2. Calculate \(2^2\): \[ 2^2 = 4 \]

  3. Substitute \(2^2\) back into the expression: \[ 2 \cdot 4 + 8 \div 2 - (5 + 3) \]

  4. Perform the multiplication: \[ 2 \cdot 4 = 8 \]

  5. Now, substitute that back into the expression: \[ 8 + 8 \div 2 - (5 + 3) \]

  6. Next, calculate \(8 \div 2\): \[ 8 \div 2 = 4 \]

  7. Substitute that value back into the expression: \[ 8 + 4 - (5 + 3) \]

  8. Calculate \(5 + 3\): \[ 5 + 3 = 8 \]

  9. Substitute that back into the expression: \[ 8 + 4 - 8 \]

  10. Now, perform the addition and subtraction: \[ 8 + 4 = 12 \] and then \[ 12 - 8 = 4 \]

So, the final answer is: \[ \boxed{4} \]